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Finding the Fourth Proportional to 17,614.32, 24,303.96 and 10,158

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Solution

The fourth proportional to 17,614.32, 24,303.96 and 10,158 is: 14,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.32 : 24,303.96 = 10,158 : x
  2. Step 2: Convert to fraction form
    17,614.32/24,303.96 = 10,158/x
  3. Step 3: Cross multiply
    17,614.32x = 24,303.96 × 10,158
  4. Step 4: Simplify right side
    17,614.32x = 246,879,625.68
  5. Step 5: Solve for x
    x = 246,879,625.68/17,614.32
  6. Step 6: Final answer
    x = 14,015.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.